Question

найти производную........

Answer 1

Ответ:

$F'(x) = ( {( \frac{x}{4} - 2) }^{ \frac{1}{2} } )' = \frac{1}{2} {( \frac{x}{4} - 2)}^{ - \frac{1}{2} } \times ( \frac{x}{4} - 2)' = \\ = \frac{1}{2 \sqrt{ \frac{x}{4} - 2 } } \times \frac{1}{4} = \frac{1}{8} \times \sqrt{ \frac{4}{x - 8} } = \\ = \frac{1}{8} \times \frac{2}{x - 8} = \frac{1}{4(x - 8)} = \frac{1}{4x - 32}$